English

Approximation of the elastic Dirichlet-to-Neumann map

Analysis of PDEs 2022-01-14 v1

Abstract

We study the Dirichlet-to-Neumann map for the stationary linear equation of elasticity in a bounded domain in R d , d \ge 2, with smooth boundary. We show that it can be approximated by a pseudodifferential operator on the boundary with a matrix-valued symbol and we compute the principal symbol modulo conjugation by unitary matrices.

Keywords

Cite

@article{arxiv.2201.04825,
  title  = {Approximation of the elastic Dirichlet-to-Neumann map},
  author = {Georgi Vodev},
  journal= {arXiv preprint arXiv:2201.04825},
  year   = {2022}
}
R2 v1 2026-06-24T08:48:34.837Z